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Day 195: NDA Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Sequence & Series. Asked once: NDA 1 2018 (same type asked 3 times)

    34
    If x, 3/2, z are in AP; x, 3, z are in GP; then which is in HP?

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  2. Question 2

    Statistics. Asked once: NDA 2 2022 (same type asked 3 times)

    101
    Let x be the mean of squares of first n natural numbers and y be the square of mean of first n natural numbers. If xy=5542\frac{x}{y} = \frac{55}{42}, then what is the value of n?

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  3. Question 3

    Trigonometric Identities. Asked once: NDA 2 2019 (same type asked 3 times)

    66
    What is cos⁡80°+cos⁡40°−cos⁡20°\cos80° + \cos40° - \cos20° equal to ?

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  4. Question 4

    Application of Derivatives. Asked once: NDA 2 2017 (same type asked 3 times)

    84
    Match List-I with List-II and select the correct answer using the code given below the lists:
    List-I (Function)List-II (Maximum value)
    A. sin⁡x+cos⁡x\sin x + \cos x1. 10\sqrt{10}
    B. 3sin⁡x+4cos⁡x3\sin x + 4\cos x2. 2\sqrt{2}
    C. 2sin⁡x+cos⁡x2\sin x + \cos x3. 5
    D. sin⁡x+3cos⁡x\sin x + 3\cos x4. 5\sqrt{5}
    Code:

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  5. Question 5

    Circles. Asked once: NDA 2 2018 (same type asked 3 times)

    51
    The equation of a circle whose end points of a diameter are (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is

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